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miskamm [114]
4 years ago
9

I’m confused on this one

Mathematics
1 answer:
sammy [17]4 years ago
5 0

The angles that form similarity are those that are vertically opposite and 2 pairs that are equal because the for a Z formation.


Since <LPM = <ONM then


\dfrac{LP}{NO}=\dfrac{LM}{MO}\\ \\\dfrac{5x - 10}{4x-9}=\dfrac{16}{12} Cross multiply

12*(5x - 10) = 16*(4x - 9) Remove the brackets on both sides.

60x - 120 = 64x - 144 Subtract 60x from both sides.

- 120 = 64x - 60x - 144

-120 = 4x - 144 Add 144 to both sides.

-120 + 144 = 4x

24 = 4x Divide by 4

24/4 = x

x = 6



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Which expression is equivalent to startfraction m minus 4 over m 4 endfraction divided by (m 2) ?
sertanlavr [38]

Rational functions are written as fractions. The expression equivalent to \frac{\dfrac{m-4}{m+4} }{m+2} is \frac{m-4}{m^2+6m+8}

<h3>Rational functions</h3>

Given the rational function expressed as:

\frac{\dfrac{m-4}{m+4} }{m+2}

This can be further expressed as:

\frac{m-4}{(m+4(m+2)}


Factorize the denominator to have;

\frac{m-4}{m^2+4m+2m+8}\\ \frac{m-4}{m^2+6m+8}

Hence the expression equivalent to \frac{\dfrac{m-4}{m+4} }{m+2} is \frac{m-4}{m^2+6m+8}

Learn more on rational function here: brainly.com/question/1917026

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4 0
2 years ago
A 20 foot lamp post casts a shadow that is 28 feet long. Standing next to the lamp post is a 6 foot tall man. About how long is
motikmotik
It looks like the shadow for the lamp only went up 8 feet so I assuming it would go up 8 feet as well for the guy
8 0
3 years ago
Which set of ordered pairs represents a function? {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} {(3, –1), (7, 1), (–6, –1), (9, 1
LiRa [457]

Answer:

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

Step-by-step explanation:

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

this set represent a function because there is one input (x) for the output(y)

(no repetition for x)

6 0
4 years ago
Write a few sentences about different ways to show subtraction for a problem like 32-15
cluponka [151]
Bob had 32 sweets in total but decided to give 15 to his friend Olivia. How many sweets does Bob have left?

Bob went to the shops and bought 32 pencils, but he realised he didn't have enough money, so he put 15 back, how many pencils did Bob buy in the end?



4 0
3 years ago
Craig is practicing his baseball pitching he kept track of the speed oI made a histogram at right can you tell the speed of each
wel

The speed of Craig’s fastest pitch based on the histogram will be 75 meters per hour.

<h3>What is a histogram?</h3>

It should be noted that a histogram simply means a bell shaped diagram that illustrates a particular distribution of data. It should be noted that histograms are used to summarize the data measured in the interval scale.

In this case, Craig is practicing his baseball pitching he kept track of the speed and made a histogram. The speed of Craig’s fastest pitch based on the histogram will be 75 meters per hour.

Learn more about histogram on:

brainly.com/question/25983327

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6 0
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